• Fifth Grade

     

    i-Ready Classroom Mathematics

    Quarter 1

    Quarter 2

    Quarter 3

    Quarter 4
     

    Unit 1

    Whole Number Operations & Applications

    Unit 2

    Decimals and Fractions

    Unit 3

    More Decimals and Fractions

    Unit 4

    Measurement, Data & Geometry

    Unit 5

    Algebraic Thinking & Coordinate Planes

     

    Unit Themes

    Developing Mathematical Mindsets

    Becoming a confident learner and doer of mathematics begins first with believing we are capable, that mistakes are essential to developing depth of understanding, and that most often our highest level work happens through collaboration with others.

    Unit 1: Whole Number Operations & Applications: Volume, Multiplication and Division

    • Volume is the amount of space inside a three-dimensional figure. Knowing how many unit cubes fit inside a figure determines its volume.

    • You can use what you know about finding the area of rectangles as the first step in calculating the volume of rectangular prisms.

    • You can use place value, area models, and other strategies to multiply multi-digit numbers and divide by two-digit divisors.

    Unit 2: Decimals and Fractions: Place Value, Addition, and Subtraction

    • Place value in decimals follows the same base-ten patterns as whole numbers. Knowing about place value will help you understand how many times more or less one decimal place is than another and will help you read, write, and round decimals.

    • You can use what you know about patterns when multiplying by 10 to understand multiplying and dividing by powers of 10.

    • Knowing about adding and subtracting whole numbers will help you add and subtract decimals.

    • You can use what you know about equivalent fractions to add and subtract fractions with unlike denominators.

    Unit 3: More Decimals and Fractions: Multiplication and Division

    • You can use what you know about multiplying whole numbers to help you multiply decimals and fractions.

    • You can think of fractions as division expressions where the numerator is divided by the denominator.

    • Reasoning about the size of the factors helps you reason about the size of a product: how does a factor greater or less than 1 affect a product?

    • You can use relationships between multiplication and division to help you divide whole numbers by unit fractions and unit fraction by whole numbers.

    Unit 4: Measurement, Data, & Geometry: Converting Units, Using Data, and Classifying Figures

    • You can use division to convert from smaller to larger units of measurement within the same measurement system.

    • You can use your understanding of operations on fractions to solve problems about data presented in line plots.

    • You can classify two-dimensional figures into categories and subcategories based on their properties.

    Unit 5: Algebraic Thinking & Coordinate Planes: Expressions, Graphing Points, Patterns and Relationships

    • Grouping symbols, such as braces, brackets, and parentheses, show the order in which parts of an expression should be evaluated. Knowing how to use grouping symbols and the order of operations will allow you to correctly evaluate, write, and interpret expressions.

    • The coordinate plane is a two-dimensional space formed by two perpendicular number lines. Knowing about the coordinate plane will help you graph and interpret points to solve real-world and mathematical problems.

     

    Fifth Grade Math Content Standards

    What are the math expectations of fifth grade students?

     

    Operations and Algebraic Thinking 

    • Writes and interprets numerical expressions using parentheses, brackets, braces and the order of operations

    • Analyze patterns and relationships

     

    Numbers and Operation in Base Ten 

    • Understands the place value system

    • Reads, writes, and compares decimals to thousandths

    • Uses place value understanding to round decimals to any place

    • Adds, subtracts, multiples, and divides decimals to hundredths, using concrete models or drawings and strategies based on place value, and properties of operations

    • Fluently multiply multi-digit numbers

    • Divides multi-digit numbers by two-digit numbers using strategies based on place value, the properties of operations and the relationship between multiplication and division

     

    Numbers and Operations -- Fractions

    • Uses equivalent fractions as a strategy to add and subtract fractions 

    • Solve word problems involving adding and subtracting fractions with like and unlike denominators 

    • Solves problems involving multiplication of fractions and mixed numbers 

    • Understands multiplication as scaling (enlarging or reducing; e.g., knows 5 x ¾ is less than 5 without performing the multiplication) 

    • Solves problems using division involving fractions  (e.g. 5 ÷ ¼ = 20   ½  ÷ 4 = ?  ) 

     

    Measurement and Data 

    • Converts like measurement units with a given measurement system and uses these conversions in solving multi-step, real world problems

    • Represent and interpret data using line plots

    • Geometric measurement: 

      • Recognizes volume as an attribute of three dimensional space 

      • Relates volume to multiplication and to addition

      • Uses concrete objects as well as formulas to measure volume

     

    Geometry 

    • Graphs points on a coordinate grid to solve real-world mathematical problems

    • Identifies and classifies 2-dimensional figures by their attributes 

    • Uses appropriate strategies and formulas to solve problems that involve area, surface area, and volume


    Standards for Mathematical Practice 

    The eight standards for mathematical practice describe the “know-how” or habits of mind that we seek to develop in students. These practices define important methods and skills that students need to be mathematically proficient.


    1. Make sense of problems and persevere in solving them. 

    Students are able to “stick with” problems and will try multiple methods to reach a solution. 

    2. Reason abstractly and quantitatively. 

    Students understand that written numerals represent real world objects and quantities. 

    3. Construct viable arguments and critique the reasoning  of others. 

    Students are able to explain their own mathematical ideas and strategies and they respond to the thinking of others. 

    4. Model with mathematics. 

    Students represent problem situations in multiple ways including equations, mathematical words, labeled sketches, objects, making a chart, list, or graph. 

    5. Use appropriate tools strategically. 

    Students select the appropriate tools and resources to solve a problem. 

    6. Attend to precision. 

    Students use detailed and accurate mathematical vocabulary to  communicate mathematical understandings. 

    7. Look for and make use of structures. 

    Students notice attributes and structures in mathematics such as: sorts shapes by the number of sides or recognizes that 4 x 7 = 28  and 28 ÷ 7 = 4.

    8. Look for and express regularity in repeated reasoning. 

    Students notice repetitive actions in computation and look for patterns that support computation: 12 x 5 is the same as 10 x 5 and 2 x 5 to arrive at 60.